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Find the age of the youngest of three children. Statement I: Their ages are consecutive integers that add up to 36. Statement II: The eldest child is 13 years old. Which statement(s) is/are sufficient to answer?

Competition practiceData Sufficiency
  • AStatement II alone is sufficient but Statement I alone is not
  • BEither statement alone is sufficient
  • CBoth statements together are needed (neither alone is sufficient)
  • DStatement I alone is sufficient but Statement II alone is not

Step-by-Step Solution

From I, consecutive integers summing to 36 are 11, 12, 13, so the youngest is 11. From II, only the eldest is known and the gaps are not, so II alone fails.
Answer: D) Statement I alone is sufficient but Statement II alone is not

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